Answer :

Number of men = 112

Total number of persons = 288

Therefore, number of women = Total number of persons - Number of men

number of women = 288 – 112 = 176

(a) ratio of number of men to that of women =

⇒ ratio =

Dividing numerator and denominator by 2 we get

⇒ ratio =

Again dividing the numerator and denominator by 8 we get

⇒ ratio =

Therefore, ratio of number of men to that of women = 7:11

(b) ratio of number of men to total number of persons =

⇒ ratio =

Dividing numerator and denominator by 4 we get

⇒ ratio =

Again dividing the numerator and denominator by 8 we get

⇒ ratio =

Therefore, ratio of number of men to total number of persons = 7:18

(c) ratio of women to the total number of persons =

⇒ ratio =

Dividing numerator and denominator by 4 we get

⇒ ratio =

Again dividing the numerator and denominator by 8 we get

⇒ ratio =

Therefore, ratio of number of women to total number of persons = 11:18

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